\input epsf
\nopagenumbers
\magnification=\magstep1

\noindent {\bf Problem statement} Sketch the region $R$ defined by
$1\le x\le 2$ and $0\le y\le 1/x^3$.

\medskip

\noindent a) Find (exactly) the number $a$ such that the line $x=a$
divides $R$ into two parts of equal area. 

\medskip

\noindent b) Then find (to 3 places) the number $b$ such that the line
$y=b$ divides $R$ into two parts of equal area.

\vfil\eject\end